A superintendent of a school system is interested in how the teachers working at the schools feel about the current professional development offerings, so they use the employee dashboard to randomly select 60 teachers for their survey. As it happens, approximately two teachers from each grade are chosen, and there is about the same number of teachers for each major discipline. Is this a simple random sample? Is it a representative sample?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
1. Intro to Stats and Collecting Data
Sampling Methods
Struggling with Statistics?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
A quality control manager wants to see how many defective products come off the line on average per day. They use a random number generator to select 100 of the 1500 units produced that day and tested whether they were defective. What type of sampling method is this?
A
Simple random sampling
B
Stratified sampling
C
Cluster sampling
D
Systematic sampling
Verified step by step guidance1
Understand the problem: The quality control manager is selecting a subset of 100 units from a total of 1500 units produced in a day using a random number generator. The goal is to determine the type of sampling method used.
Review the definitions of the sampling methods: Simple random sampling involves selecting a sample where every unit has an equal chance of being chosen. Stratified sampling divides the population into subgroups (strata) and samples are taken from each subgroup. Cluster sampling involves dividing the population into clusters and randomly selecting entire clusters. Systematic sampling selects every nth unit from the population.
Analyze the method described: The problem states that a random number generator is used to select 100 units from the total population of 1500 units. This implies that each unit has an equal chance of being selected, without any grouping or systematic pattern.
Compare the method to the definitions: Since the selection is random and does not involve dividing the population into subgroups, clusters, or using a systematic pattern, the method aligns with the definition of simple random sampling.
Conclude: The sampling method used in this scenario is simple random sampling.
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